**Question 4: Probability and Confidence Interval Analysis**If we assume that the data is normal and treat the mean and standard deviation of the sample as if they were the population values, find the probability that a random intro-stat student is able to legally consume recreational drugs, or rather, calculate $ P(\text{age} > 20.5) $. Does this value fall in the confidence interval from problem 3?---### Explanation:In this problem, you are asked to determine the probability that a random introductory statistics student is over the age of 20.5, under the assumption that the data follows a normal distribution. By treating the sample mean and standard deviation as the population values, you will calculate $ P(\text{age} > 20.5) $. Additionally, you should check if this age value falls within the confidence interval established in Problem 3. For this homework, we will be revisiting the age data used in homework #2:```18 18 18 18 19 19 19 19 19 19 19 19 19 1919 19 19 20 20 20 20 20 20 20 21 21 21 2121 21 21 22 22 22 22 22 23 23 24 25 30 33 35```Explanation: The data consists of ages, laid out in a sequence. Each number represents an age, and they are arranged in rows for better readability. This dataset will be used for various statistical analyses in the homework.

The standard normal distribution is used to find the probability of the standard random variable.

Answered: If we assume that the data is normal…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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